Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116b |
Isogeny class |
Conductor |
116 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8 |
Modular degree for the optimal curve |
Δ |
-7424 = -1 · 28 · 29 |
Discriminant |
Eigenvalues |
2- 1 3 -4 3 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4,4] |
[a1,a2,a3,a4,a6] |
j |
-35152/29 |
j-invariant |
L |
1.2764922776941 |
L(r)(E,1)/r! |
Ω |
3.8294768330824 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
464d1 1856d1 1044j1 2900b1 |
Quadratic twists by: -4 8 -3 5 |